Question

FAN AND MEDAL:

In a certain town the temperature, x in degrees Celsius on a certain day is described by two statements:


If 3 times the temperature is increased by 2, the temperature is still less than 14°C.
Twice the temperature minus 7 is greater than -11°C.


Part A: Create a compound inequality to represent the temperature range. (3 points)

Part B: Can the temperature in this town be 5°C? Justify your answer by solving the inequalities in Part A. (3 points)

Part C: The average temperature in another town is 3°C, but the actual temperature is within 4°C of the average. Writ

Answer 1

@satellite73 Can you help me??

Answer 2

we can try it

Answer 3

Thanks :)

Answer 4

lets call the temperature \(x\) then
If 3 times the temperature is increased by 2, the temperature is still less than 14°C.
would translate as \(3x+2<14\)

Answer 5

yes that makes sense

Answer 6

Twice the temperature minus 7 is greater than -11
would translate as
\[2x-7>-11\]

Answer 7

put them together, write an "and" statement
\[2x-7>-11\] AND\[3x+2<14\]

Answer 8

now lets see if we can solve both of those
do you know how to do it?

Answer 9

yes give me a sec and i'll solve it

Answer 10

actually i have to run
lets do the first one
\[2x-7>-11\\
2x>-4\\
x>-2\]

Answer 11

you can do the rest i am sure
good luck

Answer 12

ok

Answer 13

thanks